Dynamic Propagation Characteristics of a Mode-III Interfacial Crack in Piezoelectric Bimaterials

• Published in: Advances in materials science and engineering Vol. 2022; pp. 1 - 21
• Main Authors: Zhang, Yani, Li, Junlin, Xie, Xiufeng
• Format: Journal Article
• Language: English
• Published: New York Hindawi 01.01.2022; Hindawi Limited
• Subjects: Boundary conditions; Composite materials; Coupling coefficients; Crack propagation; Deduction; Electric fields; Energy conservation; Fourier transforms; Impact loads; Interfacial cracks; Laplace transforms; Piezoelectricity; Propagation; Propagation modes; Stress intensity factors; Stress propagation; Wave propagation
• ISSN: 1687-8434; 1687-8442
• DOI: 10.1155/2022/1733011

This article presents the dynamic behavior of a semi-infinite interfacial crack in piezoelectric bimaterials under impact loading. With the help of the transform methods (the Laplace transforms and Fourier transforms), the problem is studied with the Wiener–Hopf technique. This strict proof guarantees the feasibility of this approach. The dynamic stress intensity factor and dynamic electric displacement intensity factor of the interfacial crack propagation characteristics are expressed. Finally, several classic numerical examples are mentioned and discussed to demonstrate that the theoretical deduction is highly accurate for interfacial crack analysis of piezoelectric bimaterials. The results show that the crack propagation is affected by the electromechanical coupling coefficient. In addition, if the velocity of the dynamic crack propagation reaches the generalized Raleigh wave speed, the dynamic stress intensity factor will disappear. Furthermore, for a given time, the ratio of the dynamic stress intensity factor to load increases with the electromechanical coupling coefficient decreasing. Numerical examples are presented to highlight the result.